Answer:
Step-by-step explanation:
The standard form equation for a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where h and k are the coordinates of the center. Our center is given as (-6,7) and the radius is given as 9, so that information fits into our standard form like this:
[tex](x-(-6))^2+(y-7)^2=9^2[/tex] and simplified, it looks like this:
[tex](x+6)^2+(y-7)^2=81[/tex]
That's choice C
